Elementary Differential Equations |
Contents
Definitions Elimination of Arbitrary Constants 1 Examples of differential equations 2 Definitions | 1 |
The elimination of arbitrary constants | 5 |
Families of curves | 9 |
Copyright | |
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a₁ arbitrary constants arctan auxiliary equation b₁ b₂ boundary value problem c₁ and c₂ c₁e c₁e² C₂e C₂x Chapter circuit compute constant coefficients convergence cosh curve d²x derivatives determine dx dx dy dx e²x equal roots equation of Ex EXAMPLE EXERCISES Figure finite plane follows formula Fourier series Fourier sine series Hence homogeneous independent variable indicial equation initial integrating factor interval left member linear equation linearly independent m₁ member of equation method motion numerical obtain parameter partial differential equation particular solution polynomial power series recurrence relation regular singular point result right member RLC circuit satisfy sec² Show sin x singular solution sinh solution of equation Solve the equation ẞt temperature term tion velocity x²)y x²y y₁ ln yields zero ди Ур